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3 years ago

Which graph represents the compound inequality?

Mathematics

2 answers:

Murljashka [212]3 years ago

8 0

B

B is the correct answer

ad-work [718]3 years ago

6 0

Step-by-step explanation:

The graph of-5 to positive 2.

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Each of the 12 cards shown has a number and a color or pattern. Each card is equally likely to be drawn. Find each probability.

Sever21 [200]

Answer:

A) P(stars) = 1/3

B) P(odd)= 4/7

C)P(solid grays or stars or striped)= 1

D)P(1,4 or 7)= 3/7

E)P(not striped)= 2/3

Step-by-step explanation:

Given:

sample set contains 1-7 solid gray, 1-7 stars and 1-7 striped cards

Let solid gray be x

stars be y

striped be z

then sample set be

1x,2x,3x,4x,5x,6x,7x,

1y,2y,3y,4y,5y,6y,7y,

1z,2z,3z,4z,5z,6z,7z

total number of cards in sample set =21

Now

a)Finding probability of stars

Number of star cards in above sample set = 7

P(stars)= 7/21

P(y)=1/3

b)Finding probability of odd

Number of odd cards in above sample set = 12

P(odd)= 12/21

=4/7

c)Finding probability of solid grays or stars or striped

P(solid grays or stars or striped) = P(x or y or z)

=P(x U y U z)

As the events are mutually exclusive

P(x U y U z)= P(x)+P(y)+P(z)

now P(x)= 1/3

P(y)=1/3

P(z)=1/3

P(x U y U z) = 1/3 + 1/3 + 1/3

= 3/3

d)Finding probability of 1,4 or 7

Number of 1,4 or 7 cards in above sample set = 9

P(1,4 or 7) = P(1 U 4 U 7)

As the events are mutually exclusive

P(1,4 or 7) = P(1) + P(4) + P(7)

P(1)= 3/21

=1/7

P(4)= 3/21

=1/7

P(7)= 3/21

=1/7

P(1,4 or 7)= 1/7 + 1/7 + 1/7

=3/7

e)Finding probability of not striped

Number of not striped cards in above sample set = 14

P(not striped)= 14/21

= 2/3 !

6 0

3 years ago

Please Help! If (5x-2)^2=ax^2-bx+c, what is the value of a+c^2?

Sladkaya [172]

Answer:

The solved problem is in the photo. Hope it helps.

6 0

3 years ago

Number of sides of shape: _5<br>Number of degrees inside:<br>

Gwar [14]

Answer:

Step-by-step explanation:

The sum of the interior angles of a polygon with n side is

$180(n-2)$

So, for a polygon with 5 sides the expression is

$180\cdot 3 = 540$

5 0

3 years ago

ladder 5m tall when set against a wall of house just reach the window at a height 3m how far is the lower end of ladder from the

KATRIN_1 [288]

Answer:

Step-by-step explanation:

A simple matter of using Pythagoras. The hypotenuse is the ladder, and one of the legs is the wall, and we have to figure out the value of the other leg.

The Pythagorean formuda is (hypotenuse = a): a² + b² = c² (b and c are the other sides)

applying the values: a = 5 and b or c is 3 (I'll put b = 3)

5² = 3² + c²

25 = 9 + c²

25 - 9 = c²

16 = c²

√16 = c

4 = c

c = 4

3 0

3 years ago

After Myong's cylindrical birthday cake was sliced, she received the slice at right. If her birthday cake originally

Talja [164]

Answer:

97.53 in³

Step-by-step explanation:

The cylindrical birthday cake has a diameter (d) of 14 inches and a height (h) of 6 inches.

The radius of the cake (r) = diameter / 2 = 14 inches / 2 = 7 inches.

The volume of the full cake = πr²h = π(7²)6 = 924 in³

Since only a part of the cake was cut and given to Myong. The total measure of the cake is 360°, but the part given to her was 38°. Hence the volume of her slice is given as:

Volume of her slice = (38 / 360) * volume of the full cake = (38 / 360) * 924 = 97.53 in³

Volume of her slice = 97.53 in³

7 0

3 years ago